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Finding the Fourth Proportional to 6,130.59, 9,201.35 and 4,184.16

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Solution

The fourth proportional to 6,130.59, 9,201.35 and 4,184.16 is: 6,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.59 : 9,201.35 = 4,184.16 : x
  2. Step 2: Convert to fraction form
    6,130.59/9,201.35 = 4,184.16/x
  3. Step 3: Cross multiply
    6,130.59x = 9,201.35 × 4,184.16
  4. Step 4: Simplify right side
    6,130.59x = 38,499,873.04
  5. Step 5: Solve for x
    x = 38,499,873.04/6,130.59
  6. Step 6: Final answer
    x = 6,279.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.